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The insulation resistance of a cable of length 10 km is 1MΩ. For a length of 100 km of same cable, the insulation resistance will be-
- a)1MΩ
- b)10MΩ
- c)0.1MΩ
- d)0.01MΩ
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The insulation resistance of a cable of length 10 km is 1MΩ. For a le...
The insulation resistance of a wire is inversely dependent on the length of the wire. This simply means that if length increases then insulation resistance decreases and vice versa.
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Initial cable length =10 km
New cable length =100 km
We can see that length changes to ten times of itself. This implies that insulation resistance reduces to its one tenth as both are inversely related.
New insulation resistance =1 MΩ/10
=0.1 MΩ
Hence, the correct option is (C).
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The insulation resistance of a cable of length 10 km is 1MΩ. For a le...
Insulation Resistance of a Cable
Insulation resistance is the resistance offered by the insulation material between the conductor and the earth. It is measured in ohms and is an important parameter to determine the quality of insulation provided in cables.
Formula to Calculate Insulation Resistance
The formula to calculate insulation resistance is given as:
IR = V / I
Where,
IR = Insulation Resistance
V = Applied Voltage
I = Leakage Current
Explanation
Given, the insulation resistance of a cable of length 10 km is 1MΩ.
To calculate the insulation resistance for a length of 100 km of the same cable, we can use the following formula:
IR2 = IR1 x (L2 / L1)
Where,
IR2 = Insulation Resistance for 100 km of cable
IR1 = Insulation Resistance for 10 km of cable
L2 = Length of 100 km of cable
L1 = Length of 10 km of cable
Substituting the given values, we get:
IR2 = 1MΩ x (100/10)
IR2 = 10MΩ
Therefore, the insulation resistance for a length of 100 km of the same cable will be 0.1MΩ.
Insulation resistance is the resistance offered by the insulation material between the conductor and the earth. It is measured in ohms and is an important parameter to determine the quality of insulation provided in cables.
Formula to Calculate Insulation Resistance
The formula to calculate insulation resistance is given as:
IR = V / I
Where,
IR = Insulation Resistance
V = Applied Voltage
I = Leakage Current
Explanation
Given, the insulation resistance of a cable of length 10 km is 1MΩ.
To calculate the insulation resistance for a length of 100 km of the same cable, we can use the following formula:
IR2 = IR1 x (L2 / L1)
Where,
IR2 = Insulation Resistance for 100 km of cable
IR1 = Insulation Resistance for 10 km of cable
L2 = Length of 100 km of cable
L1 = Length of 10 km of cable
Substituting the given values, we get:
IR2 = 1MΩ x (100/10)
IR2 = 10MΩ
Therefore, the insulation resistance for a length of 100 km of the same cable will be 0.1MΩ.
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The insulation resistance of a cable of length 10 km is 1MΩ. For a length of 100 km of same cable, the insulation resistance will be-a)1MΩb)10MΩc)0.1MΩd)0.01MΩCorrect answer is option 'C'. Can you explain this answer?
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